cameroon gce advanced level 2025 mathematics 1

Based on the images provided, here are the extracted questions and options:

Image 1 (image_9d2ae7.jpg):

1. The remainder when x3+2×2+x+5 is divided by x−1 is:

   A. 7

   B. 9

   C. 3

   D. 5

2. The polynomial T(x)=x3−ax2+bx−2 is exactly divisible by (x2−4), the values of a and b are respectively:

   A. a=2,b=2

   B. a=1,b=2

   C. a=21​,b=4

   D. a=−21​,b=−4

3. The value of x for which 27x+2=81 is

   A. 2

   B. 34​

   C. −32​

   D. 3

4. The sum and product of roots in the simplified form of the quadratic equation: 2​x2−7x−5=0 are respectively:

   A. 2​7​,2​5​

   B. 2​7​,−2​5​

   C. 2​7​,−2​5​

   D. 7,−25​

5. limx→4​x−4(x2−16)​

   A. −8

   B. ∞

   C. 0

   D. 8

6. Solving ∣x−5∣<2 gives

   A. −1<x<7

   B. 3<x<7

   C. −1<x<−7

   D. x<7

7. The domain of definition of the function g(x)=1−x4x+3​ is given by:

   A. ]−∞,1]∪[1,+∞[

   B. ]−∞,1]∪[1,+∞[

   C. ]−∞,1]∪[1,+∞[

   D. ]−∞,1]∪[1,+∞[

8. The solution of the equation e2x−1=3 is

   A. ln3−1

   B. 2ln1+3​

   C. 2ln3+1​

   D. 1−ln3

9. Given that (x−3),(2x+1) and (7x−2) are consecutive terms of an Arithmetic progression, the value of x is

   A. 7

   B. 4

   C. 2

   D. 4

10. The sum to infinity of a Geometric progression is 2.55. Its common ratio is 21​. The value of the first term is:

    A. 7.65

    B. 1.17

    C. 0.85

    D. 2.04

11. Given that x2+4x−7=(x+a)2+b then the values of a and b are respectively:

    A. 2 and 11

    B. −2 and 11

    C. −2 and −11

    D. 2 and −11

Image 2 (image_9d2b02.jpg):

12. The given circle x2+y2−14x−18y+94=0. The centre and the length of the radius are respectively:

    A. (7,9) and 6 units

    B. (9,7) and 6 units

    C. (7,6) and 9 units

    D. (6,9) and 7 units

13. Given that x>1 and that x2−x2​=0 then the value of x is:

    A. 4

    B. 2

    C. 3

    D. 5

14. If (x−1)(x+1)1​=x−1a​+x+1b​ then the values of a and b respectively are:

    A. 1, -1

    B. 21​,−21​

    C. 22​,22​

    D. −1,1

15. A correlation coefficient of +1 between X and Y signifies:

    A. A perfect positive correlation between X and Y.

    B. The angle between the regression lines of Y on X is 90∘.

    C. X and Y are partially correlated.

    D. The angle between the regression line of Y on X is 30∘.

16. The table below gives the Mathematics mark for some students of Wood Cabinet Making (WCM) in a certain school.

    | Marks | 10.5 | 11 | 11.5 | 14 | 16 |

    |—|—|—|—|—|—|

    | No. of students | 5 | 7 | 6 | 4 | 8 |

    The mean mark to 1 decimal place is:

    A. 11.5

    B. 16

    C. 12.8

    D. 12.7

17. When q(x)=x−2x​. Then q−1(4)=

    A. 6

    B. 8

    C. 21​

    D. 3

18. cos60∘cos45∘+sin60∘sin45∘=

    A. 42​−6​​

    B. 42​+6​​

    C. 46​+2​​

    D. 26​−2​​

19. When f(x)=sinx+cos2x, then f′(2π​) is equal to:

    A. 21​

    B. 32​−3​

    C. 23​​

    D. 21​+23​​